Geodesic
Translation Continuous Functionals on $C_B(\mathbb{R})$ and Their Supports
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 4, pp. 84-87

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Two constructions of translation continuous functionals on the space of bounded continuous functions on a locally compact group are introduced and the properties of these functionals related to the notion of support of a functional are considered.
Keywords: translation continuous functional, invariant mean, Banach algebra, functional of compact type, functional of infinite type. 
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     author = {E. E. Sinaiskii},
     title = {Translation {Continuous} {Functionals} on $C_B(\mathbb{R})$ and {Their} {Supports}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {84--87},
     publisher = {mathdoc},
     volume = {36},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2002_36_4_a10/}
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E. E. Sinaiskii. Translation Continuous Functionals on $C_B(\mathbb{R})$ and Their Supports. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 4, pp. 84-87. http://geodesic.mathdoc.fr/item/FAA_2002_36_4_a10/